id:A113397 - OEIS Search Results

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What are the values of k in the term Prime(n+1)^2-Prime(n)^2 = a+k*(Prime(n+1)) if "a" is element of {0,1,...,Prime(n+1)-1}.

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1, 3, 3, 6, 3, 7, 3, 7, 10, 3, 11, 7, 3, 7, 11, 11, 3, 11, 7, 3, 11, 7, 11, 15, 7, 3, 7, 3, 7, 26, 7, 11, 3, 19, 3, 11, 11, 7, 11, 11, 3, 19, 3, 7, 3, 23, 23, 7, 3, 7, 11, 3, 19 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`Prime(n+1)^2-Prime(n)^2 = a+k*(Prime(n+1)) "a" element of {0, 1, ..., Prime(n+1)-1}`
	EXAMPLE	`3^2-2^2=2+13; 5^2-3^2=1+35; 7^2-5^2=3+37; 11^2-7^2=6+611; 13^2-11^2=9+3*13; etc.`
	CROSSREFS	`Cf. A113396.` `Sequence in context: A040007 A110634 A151787 this_sequence A007425 A130695 A058587` `Adjacent sequences: A113394 A113395 A113396 this_sequence A113398 A113399 A113400`
	KEYWORD	`nonn`
	AUTHOR	`Marian Kraus (sr.dingdong(AT)gmx.de), Oct 26 2005`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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